### Question 13: Functions in Set Theory**Question:** Which of the following sets is a function?**Options:**- **A.** \(\{(3, 1), (3, 2), (3, 5)\}\) - **B.** \(\{(-1, -1), (-2, 7), (-1, 3)\}\) - **C.** \(\{(-6, 1), (4, 7), (-6, 3)\}\) - **D.** \(\{(9, 0), (8, 1), (7, 2)\}\)**Explanation:**A function from a set \(A\) to a set \(B\) is a relation where each element in set \(A\) is associated with exactly one element in set \(B\). In other words, no two pairs in the relation should have the same first element unless they map to the same second element.- **Option A:** The set \(\{(3, 1), (3, 2), (3, 5)\}\) is not a function because the element '3' in the domain (first element of ordered pairs) is associated with more than one element in the codomain (second element of ordered pairs): 1, 2, and 5.- **Option B:** The set \(\{(-1, -1), (-2, 7), (-1, 3)\}\) is not a function because the element '-1' in the domain is associated with two elements in the codomain: -1 and 3. This violates the definition of a function. (The text "NOPE" is written in red ink next to this option indicating it is incorrect.)- **Option C:** The set \(\{(-6, 1), (4, 7), (-6, 3)\}\) is not a function because the element '-6' in the domain is associated with two elements in the codomain: 1 and 3.- **Option D:** The set \(\{(9, 0), (8, 1), (7, 2)\}\) is a function because each element in the domain (9, 8, 7) is associated with exactly one unique element in the codomain (0, 1

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Answered: 13. Which of the following sets is a…

13. Which of the following sets is a function? А. ((3, 1), (3, 2), (3,5)} B. {(-1,–1), (–2, 7), (–1,3)} NOPE С. ((-6, 1), (4, 7), (-6, 3)} D. {(9,0), (8, 1), (7, 2)}

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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